Use the image to answer the question.
An illustration shows a triangular prism. The front triangular face is visible. The right rectangular face is visible. The visible rectangular face has a width of 5 centimeters and length of 11 centimeters. The sides and edges that are not visible are indicated by dashed lines. The legs of the triangular face are labeled 3 centimeters and 4 centimeters. The hypotenuse shares the same label as the width of the visible rectangular face.
What is the surface area of the triangular prism?
(1 point)
___square centimeters
To find the surface area of the triangular prism, we need to find the areas of each face and then add them all together.
1. Area of the front triangular face:
Area = (1/2) * base * height
Area = (1/2) * 5 cm * 11 cm
Area = 27.5 square cm
2. Area of the back triangular face (which is the same as the front triangular face):
27.5 square cm
3. Area of the right rectangular face:
Area = length * width
Area = 11 cm * 5 cm
Area = 55 square cm
4. Area of the left rectangular face (which is the same as the right rectangular face):
55 square cm
5. Area of the top face:
Area = 5 cm * 4 cm (using the legs of the front triangular face)
Area = 20 square cm
6. Area of the bottom face:
20 square cm
Now, add all the areas together:
27.5 + 27.5 + 55 + 55 + 20 + 20 = 205 square cm
Therefore, the surface area of the triangular prism is 205 square centimeters.